105427100 has 72 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 40822720.

The previous prime is 105427061. The next prime is 105427109. The reversal of 105427100 is 1724501.

It is a super-2 number, since 2×105427100² = 22229746828820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105427109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631217 + ... + 631383.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^105427100 is an apocalyptic number.

105427100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105427100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

105427100 is an abundant number, since it is smaller than the sum of its proper divisors (130807780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105427100 is a wasteful number, since it uses less digits than its factorization.

105427100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 105427100 is about 10267.7699623628. The cubic root of 105427100 is about 472.4081920859.

The spelling of 105427100 in words is "one hundred five million, four hundred twenty-seven thousand, one hundred".